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Finding the Fourth Proportional to 34,339.68, 47,382.84 and 20,195.19

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Solution

The fourth proportional to 34,339.68, 47,382.84 and 20,195.19 is: 27,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,339.68 : 47,382.84 = 20,195.19 : x
  2. Step 2: Convert to fraction form
    34,339.68/47,382.84 = 20,195.19/x
  3. Step 3: Cross multiply
    34,339.68x = 47,382.84 × 20,195.19
  4. Step 4: Simplify right side
    34,339.68x = 956,905,456.54
  5. Step 5: Solve for x
    x = 956,905,456.54/34,339.68
  6. Step 6: Final answer
    x = 27,865.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.